A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
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Date
2017
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Springer International Publishing AG
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Abstract
We present a new method to investigate some fractional integro-differential equations involving the Caputo-Fabrizio derivation and we prove the existence of approximate solutions for these problems. We provide three examples to illustrate our main results. By checking those, one gets the possibility of using some discontinuous mappings as coefficients in the fractional integro-differential equations.
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Approximate Solution, Caputo-Fabrizio Derivative, Fractional İntegro-Differential Equation, Generalized Alpha-Contractive Map
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Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram (2017). A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative, Advances in Difference Equations.
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Advances in Difference Equations